Mitra, Sujit Kumar
(1975)
*Optimal inverse of a matrix*
Sankhya - Series A, 37
(4).
pp. 550-563.
ISSN 0581-572x

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Official URL: http://sankhya.isical.ac.in/search/37a4/37a4049.ht...

## Abstract

An optimal approximate solution $(x)$ of the possibly inconsistent equation $Ax=y$ minimizes the norm of $\left( \begin{array}{c} Ax-y \\ x \end{array} \right)$ considered as a vector in an appropriate product space. Such a solution is computed as $x=Gy$ by an optimal inverse $G$ of $A$. This definition generalizes the earlier work of Foster (1961). Properties of optimal inverses are studied and some applications are discussed.

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ID Code: | 32047 |

Deposited On: | 30 Mar 2011 12:57 |

Last Modified: | 30 Mar 2011 12:57 |

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